96185040 has 120 divisors (see below), whose sum is σ = 346897440. Its totient is φ = 21982464.

The previous prime is 96185039. The next prime is 96185069. The reversal of 96185040 is 4058169.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 96184992 and 96185010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7671 + ... + 15849.

It is an arithmetic number, because the mean of its divisors is an integer number (2890812).

Almost surely, 2^96185040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173448720).

96185040 is an abundant number, since it is smaller than the sum of its proper divisors (250712400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96185040 is a wasteful number, since it uses less digits than its factorization.

96185040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8209 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 96185040 is about 9807.3972082301. The cubic root of 96185040 is about 458.1796997657.

It can be divided in two parts, 96 and 185040, that added together give a triangular number (185136 = T₆₀₈).

The spelling of 96185040 in words is "ninety-six million, one hundred eighty-five thousand, forty".